(3x+5x^2-6)-(10x-7x^2-7)+(8x+3x^2+0)=

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Solution for (3x+5x^2-6)-(10x-7x^2-7)+(8x+3x^2+0)= equation: 


Simplifying
(3x + 5x2 + -6) + -1(10x + -7x2 + -7) + (8x + 3x2 + 0) = 0

Reorder the terms:
(-6 + 3x + 5x2) + -1(10x + -7x2 + -7) + (8x + 3x2 + 0) = 0

Remove parenthesis around (-6 + 3x + 5x2)
-6 + 3x + 5x2 + -1(10x + -7x2 + -7) + (8x + 3x2 + 0) = 0

Reorder the terms:
-6 + 3x + 5x2 + -1(-7 + 10x + -7x2) + (8x + 3x2 + 0) = 0
-6 + 3x + 5x2 + (-7 * -1 + 10x * -1 + -7x2 * -1) + (8x + 3x2 + 0) = 0
-6 + 3x + 5x2 + (7 + -10x + 7x2) + (8x + 3x2 + 0) = 0

Reorder the terms:
-6 + 3x + 5x2 + 7 + -10x + 7x2 + (0 + 8x + 3x2) = 0
Remove the zero:
-6 + 3x + 5x2 + 7 + -10x + 7x2 + (8x + 3x2) = 0

Remove parenthesis around (8x + 3x2)
-6 + 3x + 5x2 + 7 + -10x + 7x2 + 8x + 3x2 = 0

Reorder the terms:
-6 + 7 + 3x + -10x + 8x + 5x2 + 7x2 + 3x2 = 0

Combine like terms: -6 + 7 = 1
1 + 3x + -10x + 8x + 5x2 + 7x2 + 3x2 = 0

Combine like terms: 3x + -10x = -7x
1 + -7x + 8x + 5x2 + 7x2 + 3x2 = 0

Combine like terms: -7x + 8x = 1x
1 + 1x + 5x2 + 7x2 + 3x2 = 0

Combine like terms: 5x2 + 7x2 = 12x2
1 + 1x + 12x2 + 3x2 = 0

Combine like terms: 12x2 + 3x2 = 15x2
1 + 1x + 15x2 = 0

Solving
1 + 1x + 15x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
15 the coefficient of the squared term: 

Divide each side by '15'.
0.06666666667 + 0.06666666667x + x2 = 0

Move the constant term to the right:

Add '-0.06666666667' to each side of the equation.
0.06666666667 + 0.06666666667x + -0.06666666667 + x2 = 0 + -0.06666666667

Reorder the terms:
0.06666666667 + -0.06666666667 + 0.06666666667x + x2 = 0 + -0.06666666667

Combine like terms: 0.06666666667 + -0.06666666667 = 0.00000000000
0.00000000000 + 0.06666666667x + x2 = 0 + -0.06666666667
0.06666666667x + x2 = 0 + -0.06666666667

Combine like terms: 0 + -0.06666666667 = -0.06666666667
0.06666666667x + x2 = -0.06666666667

The x term is 0.06666666667x.  Take half its coefficient (0.03333333334).
Square it (0.001111111112) and add it to both sides.

Add '0.001111111112' to each side of the equation.
0.06666666667x + 0.001111111112 + x2 = -0.06666666667 + 0.001111111112

Reorder the terms:
0.001111111112 + 0.06666666667x + x2 = -0.06666666667 + 0.001111111112

Combine like terms: -0.06666666667 + 0.001111111112 = -0.065555555558
0.001111111112 + 0.06666666667x + x2 = -0.065555555558

Factor a perfect square on the left side:
(x + 0.03333333334)(x + 0.03333333334) = -0.065555555558

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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